The tubular steel towers supporting wind turbines account for about 15 to 20% of the total installation costs and their optimization may lead to substantial savings with regard to costs and use of material. An innovative solution for assembling joints of a tubular tower for wind turbines has been studied in an European research project called HISTWIN (High-Strength Steel Tower for Wind Turbine). This solution is simpler to produce and 80% less expensive than the traditional flange connection.The paper deals with connections used to assemble sections of tubular steel towers supporting wind turbines. The starting point is a rather simple lap joint connection .This connection is chosen for the sake of simplicity but still having possibility of general conclusions. After that more realistic connection between two tower segments is presented, each section has about 3m high and 2 m in diameter and they are connected by 222 M30 high-strength bolts.Modeling such FE models, which consists of several parts in contact, requires knowledge in contact mechanics with friction, meshing techniques as well as stability and convergence algorithms.A short parametric study is made to evaluate influence of number of bolts and the pretension force on the tubular tower failure mode.Results of FEA and resistance according to European codes, series EN1993-1-8 is considered. Keywords: Finite Element Model, Gap, High Strength Friction Grip Connection, Tubular Steel Tower, contact.